Loading [MathJax]/jax/output/SVG/config.js
Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Model.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskoe modelirovanie, 2016, Volume 28, Number 1, Pages 117–131 (Mi mm3694)  
This article is cited in 1 scientific paper (total in 1 paper)

The asymptotic decomposition of solution of singularly perturbed differential and operational nonlinear equation with variable coefficients

A. V. Zaborskiyab, A. V. Nesterovab

a Obninsk Institute for Nuclear Power Engineering – Branch of Federal State Higher Education «National Research Nuclear University MEPhI»
b Moscow City Pedagogical University
Full-text PDF (347 kB) Citations (1)
References:
PDF
HTML
Abstract: Formal asymptotic decomposition on small parameter of solution for initial task for singularly perturbed differential and operator nonlinear equation with variable coefficients in critical case is constructed. Estimates of functions of splash and boundary functions are found, assessment of residual member of decomposition is received.
Keywords: asymptotic decomposition of solution, small parameter, singularly perturbations, differential and operator equations, initial task, critical case, modified method of boundary functions.
Received: 18.11.2014
Bibliographic databases:
Document Type: Article
UDC: 517.953
Language: Russian
Citation: A. V. Zaborskiy, A. V. Nesterov, “The asymptotic decomposition of solution of singularly perturbed differential and operational nonlinear equation with variable coefficients”, Mat. Model., 28:1 (2016), 117–131
Citation in format AMSBIB
\Bibitem{ZabNes16}
\by A.~V.~Zaborskiy, A.~V.~Nesterov
\paper The asymptotic decomposition of solution of singularly perturbed differential and operational nonlinear equation with variable coefficients
\jour Mat. Model.
\yr 2016
\vol 28
\issue 1
\pages 117--131
\mathnet{http://mi.mathnet.ru/mm3694}
\elib{https://elibrary.ru/item.asp?id=25707615}
Linking options:
  • https://www.mathnet.ru/eng/mm3694
  • https://www.mathnet.ru/eng/mm/v28/i1/p117
    • This publication is cited in the following 1 articles:
    1. A. V. Nesterov, “Asymptotics of solutions of the Cauchy problem for a singularly perturbed operator differential transport equation”, Theoret. and Math. Phys., 220:2 (2024), 1341–1351  mathnet  crossref  crossref  mathscinet  adsnasa
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
    Statistics & downloads:
    Abstract page:365
    Full-text PDF :134
    References:89
    First page:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025